c|Sections of Maximal Subgroups of Finite Groups

c-Sections of Maximal Subgroups of Finite Groups - ScienceDirect.com

Let G be a finite group and let M be a maximal subgroup of G. Let K/L be a chief factor of G such that L ≤ M and G = MK. We call the group M ∪ K/L a ...

c-Sections of Maximal Subgroups of Finite Groups - ScienceDirect.com

c-Sections of Maximal Subgroups of Finite Groups. Yanming Wang1. Department of Mathematics, Zhongshan University, Guangzhou, 510275,. People's Republic of ...

c-Sections of Maximal Subgroups of Finite Groups | Request PDF

Let G be a finite group and let M be a maximal subgroup of G. Let K/L be a chief factor of G such that L≤M and G=MK. We call the group M∪K/L a c-section of ...

Finite groups with few conjugacy classes of maximal subgroups

Let c be a positive integer, G a finite group with at most c conjugacy classes of maximal subgroup. What can we say about G? · Same question, but ...

A Note on the Normal Index and the c‐Section of Maximal ...

Let M be a maximal subgroup of finite group G. For each chief factor H/K of G such that K ≤ M and G = MH, we called the order of H/K the ...

c-SECTIONS, SOLVABILITY AND LARGE SUBGROUPS OF FINITE ...

In this paper we prove that if for each maximal subgroup of a finite group G, the corresponding c-section order is smaller than the index of the maximal ...

On the normal index and the c-section of maximal subgroups of a ...

Let M be a maximal subgroup of a finite group G . The order of a chief factor H/K such that H is a minimal supplement to M in G is called ...

Maximal subgroup of a finite group contains all other subgroups.

x,y∈H∖M. This implies x,y∈H and from the lemma xy∈H. Now, note that x,y∈H∪M and xy∈H∪M. · x∈H∖M,y∈H∩M. This implies x,y∈H and the proof follows ...

On conjugacy classes of maximal subgroups of finite simple groups ...

If one does use the classification, our proof shows that the conclusion of Theorem 1.3 holds with the function c(r) of the order of rr, and it should certainly ...

Maximal subgroups of finite groups - Semantic Scholar

In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the ...

C-Sections, solvability and large subgroups of finite groups

c-Sections of maximal subgroups in a finite group and their relation to solvability have been extensively researched in recent years.

A remark on the C-normality of maximal subgroups of finite groups

€C//' is the maximal normal subgroup of G which is contained in. H. We use a result on primitive groups and the c-normality of maximal subgroups of a finite ...

A remark on the C-normality of maximal subgroups of finite groups

We use a result on primitive groups and the c-normality of maximal subgroups of a finite group G to obtain results about the influence of the set of maximal ...

If a finite group has exactly $2$ maximal subgroups, then it is $3

For finite groups, this below is maybe a partial answer, but provides you with some insight. You probably know that a group with only one ...

1 Maximal subgroups of finite simple groups: classifications and ...

(c) A group of Lie type, either classical or exceptional. (d) One of 26 sporadic groups. After naming the simple groups, two natural questions arise. 1 ...

Maximal Intersections in Finite Groups - SpringerLink

We will say that a subgroup H of a finite group G is a maximal intersection in G if there exists a family of maximal subgroups of G.

maximal subgroups in finite and profinite groups

prove that a finite group G has at most |G|c maximal soluble subgroups, and ... groups—as upper sections (i.e. as quotients of finite index subgroups). The ...

On 2-maximal subgroups of finite groups - Taylor & Francis Online

We prove that every maximal subgroup of M is strictly 2-maximal in G if M is normal in G or if G is p-soluble and | G : M | = p . We describe the structure of a ...

Maximal subgroups in finite and profinite groups - CiteSeerX

We say that G has polynomial maximal subgroup growth if for some c and for all n we have mn(G) ⩽ nc. Such groups are called PMSG groups. The class of PMSG ...

On the F-abnormal maximal subgroups of finite groups - CORE

Definition 2 (Yaoqing Zhao [6, Definition]). Given a maximal subgroup M of a group G, a θ-completion of M in G is any subgroup C such that C is not contained ...